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Finding the Third Proportional to 287,295 and 582,797

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Solution

The third proportional to 287,295 and 582,797 is: 1,182,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,295 : 582,797 = 582,797 : x
  2. Step 2: Convert to fraction form
    287,295/582,797 = 582,797/x
  3. Step 3: Cross multiply
    287,295x = 582,797 × 582,797
  4. Step 4: Simplify right side
    287,295x = 339,652,343,209
  5. Step 5: Solve for x
    x = 339,652,343,209/287,295
  6. Step 6: Final answer
    x = 1,182,242.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.